A police spokeswoman said the man entered the rugged hill country to the north-west of Dunedin yesterday and activated his emergency locator beacon at 10.48am today.
The Otago Regional Rescue Helicopter picked up the man by 11.30am, she said.
A Rescue Coordination Centre New Zealand spokeswoman said the hunter was lost at the back of the reserve.
Police or the centre did not know if he was injured.